On the Virasoro fusion and modular kernels at any irrational central charge

Julien Roussillon

doi:10.21468/SciPostPhys.17.5.138

On the Virasoro fusion and modular kernels at any irrational central charge

Julien Roussillon^*

^*Tämän työn vastaava kirjoittaja

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Sitaatiot (Scopus)

36 Lataukset (Pure)

Abstrakti

We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases c ∈ C\(−∞, 1] and c < 1. Our proposal for c < 1 agrees numerically with the fusion transformation of the four-point spherical conformal blocks, whereas our proposal for c ∈ C\(−∞, 1] agrees numerically with Ponsot and Teschner’s integral formula for the fusion kernel. The case of the modular kernel is studied as a special case of the fusion kernel.

Alkuperäiskieli	Englanti
Artikkeli	138
Julkaisu	SciPost Physics
Vuosikerta	17
Numero	5
DOI - pysyväislinkit	https://doi.org/10.21468/SciPostPhys.17.5.138
Tila	Julkaistu - marrask. 2024
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.21468/SciPostPhys.17.5.138Lisenssi: CC BY

SCI_Roussillon_SciPostPhys_17_5_138Final published version, 350 KBLisenssi: CC BY

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Linkki julkaisuun Scopuksessa

First Peltola: Finnish centre of excellence in Randomness and STructures
Peltola, E. (Vastuullinen johtaja), Roussillon, J. (Projektin jäsen), Immonen, J. (Projektin jäsen) & Ryan, K. (Projektin jäsen)
01/01/2022 → 31/12/2024
Projekti: RCF Centre of Excellence

Siteeraa tätä

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abstract = "We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases c ∈ C\textbackslash{}(−∞, 1] and c < 1. Our proposal for c < 1 agrees numerically with the fusion transformation of the four-point spherical conformal blocks, whereas our proposal for c ∈ C\textbackslash{}(−∞, 1] agrees numerically with Ponsot and Teschner{\textquoteright}s integral formula for the fusion kernel. The case of the modular kernel is studied as a special case of the fusion kernel.",

author = "Julien Roussillon",

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AU - Roussillon, Julien

N1 - Publisher Copyright: Copyright J. Roussillon.

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N2 - We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases c ∈ C\(−∞, 1] and c < 1. Our proposal for c < 1 agrees numerically with the fusion transformation of the four-point spherical conformal blocks, whereas our proposal for c ∈ C\(−∞, 1] agrees numerically with Ponsot and Teschner’s integral formula for the fusion kernel. The case of the modular kernel is studied as a special case of the fusion kernel.

AB - We propose a series representation for the Virasoro fusion and modular kernels at any irrational central charge. Two distinct, yet closely related formulas are needed for the cases c ∈ C\(−∞, 1] and c < 1. Our proposal for c < 1 agrees numerically with the fusion transformation of the four-point spherical conformal blocks, whereas our proposal for c ∈ C\(−∞, 1] agrees numerically with Ponsot and Teschner’s integral formula for the fusion kernel. The case of the modular kernel is studied as a special case of the fusion kernel.

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DO - 10.21468/SciPostPhys.17.5.138

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JO - SciPost Physics

JF - SciPost Physics

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ER -

On the Virasoro fusion and modular kernels at any irrational central charge

Abstrakti

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Muut tiedostot ja linkit

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Projektit

First Peltola: Finnish centre of excellence in Randomness and STructures

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